Simulated annealing algorithm for finding periodic orbits of multi-electron atomic systems

Details Simulated annealing algorithm for finding periodic orbits of multi-electron atomic systems Simulated annealing algorithm for finding periodic orbits of multi-electron atomic systems

2010-09-28

arxiv.org/abs/1009.5652v1

Communications in Nonlinear Science and Numerical Simulation 16, 7 (2011) 2845-2852

Physics

Atomic Physics

Scientific paper

10.1016/j.cnsns.2010.10.013

We adapt the simulated annealing algorithm to the search of periodic orbits for classical multi-electron atomic systems. This is done by minimizing the n-th return distance to the initial position on a Poincare surface of section under an energy constraint. Here we give evidence of the feasibility of the method by applying it to the helium atom in the ground state for one to three spatial dimensions. We examine the structure of the dynamics and connect its organization to the periodic orbits we have found.

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